Question

State if the two triangles are congruent. If they are, state how you know.

Answer 1

Yes, both triangles are congruent to each other by SIDE ANGLE SIDE property of congruence.

Explanation:

Two triangles are said to be congruent if and only if they have same corresponding angles and sides.

Now, here

Side 1 = Side 2 (given)

Side 3 = Side 4 (given)

Central angle of triangle 1 = Central angle of triangle 2 (Vertically Opposite)

Hence, by the rule of SIDE ANGLE SIDE (SAS) rule of congruence ,

Triangle 1 ≅ Triangle 2